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Finding the Fourth Proportional to 1,738.43, 2,607.90 and 505.68

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Solution

The fourth proportional to 1,738.43, 2,607.90 and 505.68 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.43 : 2,607.90 = 505.68 : x
  2. Step 2: Convert to fraction form
    1,738.43/2,607.90 = 505.68/x
  3. Step 3: Cross multiply
    1,738.43x = 2,607.90 × 505.68
  4. Step 4: Simplify right side
    1,738.43x = 1,318,762.87
  5. Step 5: Solve for x
    x = 1,318,762.87/1,738.43
  6. Step 6: Final answer
    x = 758.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.